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Finding the Fourth Proportional to 447.42, 667.85 and 395.58

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Solution

The fourth proportional to 447.42, 667.85 and 395.58 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 667.85 = 395.58 : x
  2. Step 2: Convert to fraction form
    447.42/667.85 = 395.58/x
  3. Step 3: Cross multiply
    447.42x = 667.85 × 395.58
  4. Step 4: Simplify right side
    447.42x = 264,188.10
  5. Step 5: Solve for x
    x = 264,188.10/447.42
  6. Step 6: Final answer
    x = 590.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.